The discriminant in math is defined for polynomials and it is a function of coefficients of polynomials. It tells the nature of roots or in other words, it discriminates the roots. For example, the discriminant of a quadratic equation is used to find: How many roots it has? Whether the roots are real or non-real? What is Discriminant Formula?

The discriminant of a quadratic polynomial is the portion of the quadratic formula under the square root symbol: b 2-4ac, that tells whether there are two solutions, one solution, or no solutions to the given equation.

In mathematics, the discriminant of a polynomial is a quantity that depends on the coefficients and allows deducing some properties of the roots without computing them. More precisely, it is a polynomial function of the coefficients of the original polynomial.

Illustrated definition of Discriminant: The expression bsup2sup minus 4ac used when solving Quadratic Equations. It can discriminate...

What is the Discriminant of a Quadratic Equation? The discriminant is the part of the quadratic formula found within the square root. For a quadratic of the form a𝑥2 + b𝑥 + c, its discriminant is b2 – 4ac. A quadratic equation has 2, 1 or 0 solutions depending if the value of the discriminant is positive, zero or negative respectively.

Discriminant, in mathematics, a parameter of an object or system calculated as an aid to its classification or solution. In the case of a quadratic equation, ax^2 + bx + c = 0, the discriminant is b^2 - 4ac. Discriminants also are defined for elliptic curves and other mathematical entities.

Feb 22, 2021 · The expression under the square root of the quadratic formula, , is known as the discriminant of the quadratic equation. The discriminant is used to find the nature of the roots. Depending on the relative magnitudes of the coefficient, three cases occur. Let us explore the three cases in detail. Case-I (Discriminant < 0)

Nov 29, 2024 · Learn about using the discriminant for your A level maths exam. This revision note covers what the discriminant is, and worked examples.

In Algebra 1, the discriminant is used to verify that there are no real solutions or roots for quadratic equations. When solving a quadratic equation, we are usually searching for the two solutions that will make the equation true.

Jan 1, 2024 · The discriminant is a specific part of the Quadratic Formula that gives profound insights into the nature of the solutions to a quadratic equation. It’s represented by the expression b 2 − 4 a c and determines the number and type of solutions the equation will have.